Giving 35 points.
Write a sequence of transformations that maps quadrilateral ABCD onto quadrilateral A"B"C"D" in the picture below.
Answers
Answer:
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The sequence of transformations that map quadrilateral ABCD onto A"B"C"D" are (x - 2) and (y - 2).
Given:
a quadrilateral ABCD is transformed to A"B"C"D" as shown in the figure above
To Find:
the sequence of transformations that was used
Solution:
Let us take any 1 vertex of quadrilateral ABCD
B(1, 0)
point B is transformed to B"(-1, -2)
as we can see, the x coordinate is moved 2 units to the left, and the y coordinate is moved 2 units south.
which means that the transformation is (x - 2) and (y - 2)
to crosscheck our answer, let us take another point D(1, 4)
1 - 2 = -1 and 4 - 2 = 2
and the coordinates of point D" are also (-1, 2)
Thus, the sequence of transformations that map quadrilateral ABCD onto A"B"C"D" are (x - 2) and (y - 2).
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